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Finding the Third Proportional to 4.13 and 5.75

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Solution

The third proportional to 4.13 and 5.75 is: 8.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 5.75 = 5.75 : x
  2. Step 2: Convert to fraction form
    4.13/5.75 = 5.75/x
  3. Step 3: Cross multiply
    4.13x = 5.75 × 5.75
  4. Step 4: Simplify right side
    4.13x = 33.06
  5. Step 5: Solve for x
    x = 33.06/4.13
  6. Step 6: Final answer
    x = 8.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.